Festschrift In Honour Of Lennart Carleson And Yngve Domar
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Festschrift in Honour of Lennart Carleson and Yngve Domar
Author | : Anders Vretblad |
Publisher | : |
Total Pages | : 0 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9789155435745 |
Ångström, Father and Son
Author | : Olof Beckman |
Publisher | : S. Academiae Ubsaliensis |
Total Pages | : 52 |
Release | : 1997 |
Genre | : Biography & Autobiography |
ISBN | : 9789155439606 |
Festschrift in Honour of Lennart Carleson and Yngve Domar
Author | : Olof Beckman |
Publisher | : |
Total Pages | : 53 |
Release | : 1961 |
Genre | : Acupuncture |
ISBN | : 9789155421809 |
Differentiable Functions On Bad Domains
Author | : Vladimir G Maz'ya |
Publisher | : World Scientific |
Total Pages | : 502 |
Release | : 1998-01-15 |
Genre | : Mathematics |
ISBN | : 9814498564 |
The spaces of functions with derivatives in Lp, called the Sobolev spaces, play an important role in modern analysis. During the last decades, these spaces have been intensively studied and by now many problems associated with them have been solved. However, the theory of these function classes for domains with nonsmooth boundaries is still in an unsatisfactory state.In this book, which partially fills this gap, certain aspects of the theory of Sobolev spaces for domains with singularities are studied. We mainly focus on the so-called imbedding theorems, extension theorems and trace theorems that have numerous applications to partial differential equations. Some of such applications are given.Much attention is also paid to counter examples showing, in particular, the difference between Sobolev spaces of the first and higher orders. A considerable part of the monograph is devoted to Sobolev classes for parameter dependent domains and domains with cusps, which are the simplest non-Lipschitz domains frequently used in applications.This book will be interesting not only to specialists in analysis but also to postgraduate students.
Quadrature Domains and Their Applications
Author | : Peter Ebenfelt |
Publisher | : Springer Science & Business Media |
Total Pages | : 298 |
Release | : 2006-03-10 |
Genre | : Mathematics |
ISBN | : 3764373164 |
Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.
Featured Reviews in "Mathematical Reviews" 1995-1996
Author | : Donald G. Babbitt |
Publisher | : American Mathematical Soc. |
Total Pages | : 394 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821895191 |
This collection of reprinted 'Featured Reviews' published in Mathematical Reviews (MR) in 1995 and 1996 makes widely available informed reviews of some of the best mathematics published recently. 'Featured Reviews' were introduced in MR at the beginning of 1995 in part to provide some guidance to the current research-level literature. With the exponential growth of publications in mathematical research in the first half-century of MR, it had become essentially impossible for users of MR to identify the most important new research-level books and papers, especially in fields outside of the users' own expertise. This work identifies some of the "best" new publications, papers, and books that are expected to have a significant impact on the area of pure or applied mathematics with which researchers are concerned. All of the papers reviewed here contain interesting new ideas or applications, a deep synthesis of existing ideas, or any combination of these. The volume is intended to lead the user to important new research across all fields covered by MR.
Complex Analysis and Differential Equations
Author | : Christer Kiselman |
Publisher | : |
Total Pages | : 360 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : |
Multiplicative Inequalities Of Carlson Type And Interpolation
Author | : Leo Larsson |
Publisher | : World Scientific |
Total Pages | : 217 |
Release | : 2006-07-06 |
Genre | : Mathematics |
ISBN | : 9814478369 |
Collecting all the results on the particular types of inequalities, the coverage of this book is unique among textbooks in the literature. The book focuses on the historical development of the Carlson inequalities and their many generalizations and variations. As well as almost all known results concerning these inequalities and all known proof techniques, a number of open questions suitable for further research are considered. Two chapters are devoted to clarifying the close connection between interpolation theory and this type of inequality. Other applications are also included, in addition to a historical note on Fritz Carlson himself.